First: We are of course dealing here with tastes and preferences--whatever everyone around a given table is cool with is cool for that table. Second: I think different people will have different minima, and I think even the same person might want different minima in different contexts--what makes for an intelligent decision will, of course vary with context.So what's the minimum information here? Can I say that the Priests of Arkhan in my campaign setting have a cantrip that deals force damage? Do I have to say what it's target area is? Do I have to say what components it has, or what rider effects it has?
Let's say Firebolt wasn't in the PHB. Could I say "there's a rare arcane cantrip that does fire damage" and have that be enough?
Speaking only for my self, my tastes and preferences, I think your priests' cantrip is probably fine at "it does force damage." If there's a rider, that does seem like something that'd be out there, if not necessarily its precise mechanical expression. Given the other cantrips in the PHB, I think firebolt might be more or less clear from "arcane cantrip that does range fire damage." Again, in both these cases, I think there's a difference between "I wanna know what this caster is doing" and "I wanna know if this is a thing I should go after." While as DM I will tell the players DCs and riders and other effects I don't think that's the right answer for every table; but if someone wants to chase down a spell, or an item, I think they should have a good idea what they're going to get, so they can judge where it sits in their priority queue.